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Some Polycubes Have No Edge Zipper Unfolding

· 2019 · cs.CG · arXiv 1907.08433

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abstract

It is unknown whether every polycube (polyhedron constructed by gluing cubes face-to-face) has an edge unfolding, that is, cuts along edges of the cubes that unfolds the polycube to a single nonoverlapping polygon in the plane. Here we construct polycubes that have no *edge zipper unfolding* where the cut edges are further restricted to form a path.

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cs.CG 1

years

2019 1

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ACCEPT 1

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Unfolding Polyhedra

cs.CG · 2019-08-13 · accept · novelty 2.0

A survey classifying four cut types against five polyhedron classes, producing a table of solved, open, and impossible unfolding problems.

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  • Unfolding Polyhedra cs.CG · 2019-08-13 · accept · none · ref 2 · internal anchor

    A survey classifying four cut types against five polyhedron classes, producing a table of solved, open, and impossible unfolding problems.